Abstract
The modified Callaway model is used to calculate Lattice Thermal Conductivity (LTC) for (20-nm) silicon nanowires diameter in the temperature range from 2K to 800K. Acoustic phonon mode and group velocity in the calculations are modified by spatial confinement of phonons with that of the boundary effects. All important scattering rates such as Umklapp, Mass difference, Resonance, and Boundary are calculated at room temperature. Room temperature LTC for this diameter is about only 10.23% of its bulk value. Numerical evaluation is also investigated and the results are compared to that of the reported experimental as well as theoretical data.
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